Let's divide 110973 by 13
Our goal is to divide 110973 by 13.

Going ahead to step 1:
1 divided by 13 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Moving on to step 2:
11 divided by 13 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 13

On to step 3:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 104 from 110 and we're left with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Advancing to step 4:
69 divided by 13 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 85.0
Deduct 65 from 69 and we're left with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 13

Moving on to step 5:
13 goes into 47 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 853.0
If we take 39 away from 47, we end up with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Advancing to step 6:
13 goes into 83 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 8536.0
Deduct 78 from 83 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 8536.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 8536.38
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 8536.384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 8536.3846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 8536.38461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 8536.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8536.3846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8536.38461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 8536.38461538, and the remainder is 6e-09.